TITLE:
A Class of Estimators for Population Ratio in Simple Random Sampling Using Variable Transformation
AUTHORS:
A. C. Onyeka, V. U. Nlebedim, C. H. Izunobi
KEYWORDS:
Variable Transformation, Ratio, Product and Regression-Type Estimators, Mean Squared Error
JOURNAL NAME:
Open Journal of Statistics,
Vol.4 No.4,
June
20,
2014
ABSTRACT: This paper is an
extension and generalization of the study carried out by [1] on the estimation of the population ratio (R) of the population means of two
variables (y and x) under Simple Random Sampling (SRS) scheme, using a variable
transformation of the auxiliary variable, x.
All the six estimators proposed by [1] are easily
identified as special cases of the proposed class of estimators. Asymptotic
properties of the proposed class of estimators are derived theoretically and
subsequently verified using empirical illustrations. Some of the proposed
estimators are found to have relatively large gains in efficiency over the
customary ratio estimator, for the given data
set.